\(\omega \)-convergence theory of filters in \(L\omega \)-spaces
type: Item
instance of: scholarly article
title: \(\omega \)-convergence theory of filters in \(L\omega \)-spaces
zbMATH Open document ID: 1176.54004
author: Shuili Chen
author: Guolong Chen
author: Jiancheng Zhang
published in: Fuzzy Optimization and Decision Making
publication date: 2009-09-02T00:00:00Z
review text: In this paper, an \(\omega \)-convergence theory of filters in an \(L\omega\)-space is established. By means of this convergence theory, some important characterizations with respect to \(\omega \)-closed sets, the \(\omega T_2\) separation axiom and \((\omega_1, \omega_2)\)-continuous mappings are obtained. Moreover, the relationships between \(\omega \)-convergence of molecular nets, \(\omega \)-convergence of ideals and \(\omega \)-convergence of filters are given.
reviewed by: Fu-Gui Shi
Mathematics Subject Classification ID: 54A40
Mathematics Subject Classification ID: 06D72
Mathematics Subject Classification ID: 54A20
zbMATH DE Number: 5601434
zbMATH Keywords: fuzzy lattice
zbMATH Keywords: \(L\omega\)-space
zbMATH Keywords: filter
zbMATH Keywords: net
zbMATH Keywords: \((\omega_1, \omega_2)\)-continuous mapping
zbMATH Keywords: \(\omega\)-convergence
MaRDI profile type: Publication
full work available at URL: s10700-008-9043-0
OpenAlex ID: W2144115758
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DOI: 10.1007/S10700-008-9043-0
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description: scientific article; zbMATH DE number 5601434